Atkin-Lehner |
2- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70516f |
Isogeny class |
Conductor |
70516 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
212976 |
Modular degree for the optimal curve |
Δ |
-108933428198656 = -1 · 28 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 5 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34391,2505630] |
[a1,a2,a3,a4,a6] |
j |
-2518992/61 |
j-invariant |
L |
1.779526520294 |
L(r)(E,1)/r! |
Ω |
0.59317550647369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70516a1 |
Quadratic twists by: 17 |